Laboratory of micro-mechanics of materials
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Laboratory of micro-mechanics of materials

Anatoliy N. Bulygin

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Education

  • Doctor of Science, Mathematical Physics. Sibirian branch of Academy of Science, Novosibirsk, 1981

  • Ph.D. Leningrad State University, Physical Depatament, 1974

    • E-mail bulygin_an@mail.ru


    • Current Research Interests


    • Publications


    1. E.L.Aero, A.N.Bulygin, Yu.V.Pavlov, The solutions of nonlinear equations of flat deformation of the crystal media allowing martensitic transformations: complex representation for macrofield equations.
      Mater. Phys. Mech. 35, No. 1, 1-9 (2018).
    2. E.L.Aero, A.N.Bulygin, Yu.V.Pavlov, Exact analytical solutions for nonautonomic nonlinear Klein-Fock-Gordon equation.
      In Advances in Mechanics of Microstructured Media and Structures, Editors: F.dell'Isola, V.A.Eremeyev, A.Porubov, pp. 21-33. Springer International Publishing, 2018.
    3. E.L.Aero, A.N.Bulygin, Yu.V.Pavlov, The solutions of equations for nonlinear model of deformation of the crystal media allowing martensitic transformations.
      Proceedings of the Int. Conference Days on Diffraction 2017 19 - 23 June, 2017, St.Petersburg, Russia, Eds. O.V.Motygin et al., pp. 7-12.
    4. E.L.Aero, A.N.Bulygin, Yu.V.Pavlov, The solutions of nonlinear equations of flat deformation of the crystal media allowing martensitic transformations.
      Proceedings of the XLV Summer School-Conference Advanced Problems in Mechanics, APM 2017, Saint Petersburg, June 22 - 27, 2017, pp. 21-30.
    5. E.L.Aero, A.N.Bulygin, Yu.V.Pavlov, Nonlinear model of deformation of crystal media with complex lattice: mathematical methods of model implementation.
      Mathematics and Mechanics of Solids 21, No 1, 19-36 (2016).
    6. E.L.Aero, A.N.Bulygin, Yu.V.Pavlov, Functionally invariant solutions of the nonlinear nonautonomic Klein-Fock-Gordon equation.
      Proceedings of the XLIV Summer School-Conference ''Advanced Problems in Mechanics'', APM 2016 , Saint Petersburg, June 27 - July 02, 2016, pp. 20-27.
    7. E.L.Aero, A.N.Bulygin, Yu.V.Pavlov, Solutions of the sine-Gordon equation with a variable amplitude.
      Teor. Matem. Fiz. 184, No 1, 79-91 (2015). [English transl.: Theor. Math. Phys. (2015) 184, No 1, 961-972].
    8. E.L.Aero, A.N.Bulygin, Yu.V.Pavlov, Mathematical methods for solution of nonlinear model of deformation of crystal media with complex lattice.
      Proceedings of the Int. Conference ''Days on Diffraction 2015'' May 25 - 29, 2015, St.Petersburg, Russia, Eds. O.V.Motygin, A.P.Kiselev, P.A.Belov et al., pp. 8-13.
    9. E.L.Aero, A.N.Bulygin, Yu.V.Pavlov, Nonlinear theory of localized and periodic waves in solid crystal media with complex lattice.
      Proceedings of the Int. Conference ''Days on Diffraction 2014'' May 26 - 30, 2014, St.Petersburg, Russia, Eds. O.V.Motygin, A.P.Kiselev, L.I.Goray et al., pp. 6-11.
    10. E.L.Aero, A.N.Bulygin, Yu.V.Pavlov, N.A.Reinberg, Nonlinear theory of deformation of crystal media with complex structure of lattice: plane deformation.
      Proceedings of the XLII Summer School-Conference ''Advanced Problems in Mechanics'', APM 2014, Saint Petersburg, June 30 - July 5, 2014, pp. 154-163.
    11. E.L.Aero, A.N.Bulygin, Yu.V.Pavlov, Functionally invariant solutions of nonlinear Klein-Fock-Gordon equation.
      Applied Mathematics and Computation 223, 160-166 (2013).
    12. E.L.Aero, A.N.Bulygin, Yu.V.Pavlov, Nonlinear Klein-Fock-Gordon equation and Abelian functions.
      Proceedings of the Int. Conference ''Days on Diffraction 2013'' May 27 - 31, 2013, St.Petersburg, Russia, Eds. O.V.Motygin, A.S.Kirpichnikova, A.P.Kiselev, pp. 5-10.
    13. E.L.Aero, A.N.Bulygin, Yu.V.Pavlov, Exact solutions of nonlinear Klein-Fock-Gordon equation.
      Proceedings of the Int. Conference ''Days on Diffraction 2012'' May 28 - June 1, 2012, St.Petersburg, Russia, Eds. O.V.Motygin, A.S.Kirpichnikova, A.P.Kiselev, M.V.Perel, pp. 7-12.
    14. E.L.Aero, A.N.Bulygin, Yu.V.Pavlov, Propagation of waves in thin crystal layers at different potentials of interaction of sublattices.
      Proceedings of the XLI Summer School-Conference ''Advanced Problems in Mechanics'', APM 2013, Saint Petersburg, July 1 - 6, 2013, pp. 113-122.
    15. E.L.Aero, A.N.Bulygin, Yu.V.Pavlov, Functionally invariant solutions of nonlinear Klein-Gordon equation.
      Proceedings of the XL Summer School-Conference ''Advanced Problems in Mechanics'', APM 2012, Saint Petersburg, July 2 - 8, 2012, pp. 9-18.
    16. E.L.Aero, A.N.Bulygin, Yu.V.Pavlov, The nonlinear theory of reorganization of structure of superthin crystal layers at intensive loadings.
      Mater. Phys. Mech. 15, No. 2, 126-134 (2012).
    17. E.L.Aero, A.N.Bulygin, Yu.V.Pavlov, New approach to the solution of the classical sine–Gordon equation and its generalizations.
      Differentsial'nye Uravneniya 47, No. 10, 1428-1438 (2011). [English transl.: Differential Equations (2011) 47, No. 10, 1442-1452.]
    18. E.L.Aero, A.N.Bulygin, Yu.V.Pavlov, Functionally invariant solutions of triple sine-Gordon equation.
      Proceedings of the Int. Conference ''Days on Diffraction 2011'' May 30 - June 3, 2011, St.Petersburg, Russia, Eds. O.V.Motygin, A.S.Kirpichnikova, A.P.Kiselev, M.V.Perel, pp. 5-10.
    19. E.L.Aero, A.N.Bulygin, Yu.V.Pavlov, Hydrodynamics of liquid nanolayers.
      Mater. Phys. Mech. 11, No. 2, 137-156 (2011).
    20. E.L.Aero, A.N.Bulygin, Yu.V.Pavlov, Functionally invariant solutions of the double sine-Gordon equation.
      Proceedings of the XXXIX Summer School-Conference ''Advanced Problems in Mechanics'', APM 2011, Repino, Saint Petersburg, July 1 - 5, 2011, pp. 10-20.
    21. E.L.Aero, A.N.Bulygin, Yu.V.Pavlov, Functionally invariant solutions of sine-Gordon equation with variable amplitude.
      Proceedings of the XXXVIII Summer School-Conference ''Advanced Problems in Mechanics'', APM 2010, Repino, Saint Petersburg, July 1 - 5, 2010, pp. 17-22.
    22. E.L.Aero, A.N.Bulygin, Yu.V.Pavlov, New approach to solution of sine-Gordon equation with variable amplitude.
      Proceedings of the Int. Conference ''Days on Diffraction 2010'' June 8 - 11, 2010, St.Petersburg, Russia, Eds. I.V.Andronov, A.P.Kiselev, M.V.Perel, A.S.Kirpichnikova, pp. 10-15.
    23. E.L.Aero, A.N.Bulygin, Yu.V.Pavlov, Some dynamical problems for generalized (3+1)-dimensional sine-Gordon equation.
      Proceedings of the XXXVII Summer School-Conference ''Advanced Problems in Mechanics'', APM 2009, Repino, Saint Petersburg, June 30 - July 5, 2009, pp. 19-31.
    24. E.L.Aero, A.N.Bulygin, Yu.V.Pavlov, A new approach to solution of generalized (3+1)-dimensional sine-Gordon equation.
      Proceedings of the Int. Conference ''Days on Diffraction 2009'' May 26-29, 2009, St.Petersburg, Russia, Eds. I.V.Andronov, A.P.Kiselev, M.V.Perel, A.S.Kirpichnikova, pp. 7-12.
    25. E.L.Aero, A.N.Bulygin, Yu.V.Pavlov, Solutions of generalized (3+1) sine-Gordon equation.
      Nelineinyi Mir 7, N 7, 513-517 (2009). (In Russian).
    26. E.L.Aero, A.N.Bulygin, Yu.V.Pavlov, Solutions of the three-dimensional sine-Gordon equation.
      Teor. Matem. Fiz. 158, No 3, 370-377 (2009). [English transl.: Theor. Math. Phys. (2009) 158, No 3, 313-319.]
    27. E.L.Aero, A.N.Bulygin, Yu.V.Pavlov, A new approach to solution of sine-Gordon equation.
      Proceedings of the Fourth European Conference on Structural Control, 4ECSC, Saint Petersburg, September 8-12, 2008, Vol. 1, pp. 117-124.